3. Do the academic majors chosen by ACC upperclassmen footballplayers differ from the academic majors chosen by the generalundergraduate student population?

To answer this question we will examine the data on academicmajors available in the football media guides of ACC teams from arecent season when the conference had 12 teams. The academic majorsof 394 upperclassmen football players from 11 of the 12 schoolswere available and are summarized in Table 1 below.

To deal with the problem of each school having different majorsand similar majors with different names, each academic major wasplaced into one of nine broader areas of study shown in thetable.

TABLE 1: ACADEMIC MAJORS OF ACC UPPERCLASSMEN FOOTBALLPLAYERS

MAJOR	COUNT
Social/Political Science	147
Liberal Arts	26
Health/Exercise/Recreation	29
Engineering/Construction	12
Education	11
Sports Management/Admin	22
Business	73
Science/Math/Technology	14
General Studies	60
TOTAL	394

Data from ACC schools show that the general undergraduatestudent population selects majors in the above academic areas asshown in Table 2.

TABLE 2: DISTRIBUTION OF ACADEMIC MAJORS OF GENERALUNDERGRADUATE STUDENT POPULATION

MAJOR	PROPORTION
Social/Political Science	0.15
Liberal Arts	0.17
Health/Exercise/Recreation	0.06
Engineering/Construction	0.15
Education	0.05
Sports Management/Admin	0.08
Business	0.14
Science/Math/Technology	0.15
General Studies	0.05
TOTAL	1.00

Question 1. If the distribution of academicmajors of ACC upperclassmen football players is the same as thedistribution in the general undergraduate student population, howmany ACC upperclassmen football players would you expect tomajor in the area of Social/Political Science?

(use 1 decimal place)
Question 2. From the choices below select thecorrect null hypothesis for the chi-square goodness-of-fittest.

H₀: the distribution of academic majors of ACCupperclassmen football players is the same as the distribution inthe general undergraduate student population except inSocial/Political Science since more football players than expectedchoose this area. H₀: the distribution of academicmajors of ACC upperclassmen football players is the same as thedistribution in the general undergraduate studentpopulation. H₀: the distributionof academic majors of ACC upperclassmen football players isdifferent than the distribution in the general undergraduatestudent population.

Question 3. In the calculation of the teststatistic for this hypothesis test, what numerical value does theBusiness major contribute to the test statistic?

(use 2 decimal places)

Question 4. What is the value of the teststatistic for this hypothesis test? (use 1 decimal place)

Question 5. How big does the?² test statistic need to be in order to rejectthe null hypothesis?

?² > 16.919 ?² >13.362 ?² > 17.535?² > 14.067 ?² >15.507

Question 6. What is the correct conclusion forthis hypothesis test? (one submission allowed)

Reject the null hypothesis and conclude that there is evidencein the data that the distribution of academic majors chosen by ACCupperclassmen football players differ from the distribution ofacademic majors chosen by the general undergraduate studentpopulation. Do not reject the null hypothesis and conclude thatthere is no evidence in the data that the distribution ofacademic majors chosen by ACC upperclassmen football playersdiffers significantly from the distribution of academic majorschosen by the general undergraduate studentpopulation.